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added observation in first paragraph of the quantitative minimum factoral extreme, and its opposite.
[[File:Eratosthenes.jpg|thumb|[[Eratosthenes]].]]
[[File:Eratosthenes.jpg|thumb|[[Eratosthenes]].]]
A '''prime number''' is a [[natural number]] greater than 1 that is [[divisible]] by only 1 and itself. Equivalently, the number has exactly two [[factor]]s, 1 and itself. The first few prime numbers are 2, 3, 5, 7, 11, 13...
A '''prime number''' is a [[natural number]] greater than 1 that is [[divisible]] by only 1 and itself. Equivalently, the number has exactly two [[factor]]s, 1 and itself, making primes an 'extreme' kind of number. On the opposite extreme from the primes are [[highly composite numbers]]. The first few prime numbers are 2, 3, 5, 7, 11, 13...
On the opposite extreme from
[[Leonhard Euler]] wrote: <blockquote>
[[Leonhard Euler]] wrote: <blockquote>